4.2 Second Derivatives and Graphs

Checkpoint 2

  1. For the function `htext[(] t text[)]=-t^3+12t`, find the numbers `t` for which `h'text[(] t text[)]=0.

  2. Confirm that the second derivative identifies which of these inputs makes `htext[(] t text[)]` a local maximum and which makes `htext[(] t text[)]` a local minimum.